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Lubov Fominskaja [6]
3 years ago
5

Find the sum of the first 7 terms of the following sequence. Round to the nearest

Mathematics
1 answer:
gregori [183]3 years ago
8 0

Answer:

76454

Step-by-step explanation:

Sequence : 14,56,224, ..14(4^(n-1)

where n=term number.

First term: 14*(4^(1-1)) = 14*(4^0) = 14

Second term: 14*(4^(2-1))=14*4 = 56

Third term: 14*(4^(3-1))=14*16 = 224

...

7th term: 14*(4^(7-1)) = 14*(4^6)

Sum of the first 7 terms

= 14*(4^0+4^1+4^2+4^3+4^4+4^5+4^6)

= 14(4^7-1)/(4-1)

= 14(4^7-1)/3

= 76454

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Simplify using order of operations 9 divided by 3 + 4 times 3 divided by 6
Alchen [17]

Answer:

5

Step-by-step explanation:

1. \: 3 + 4 \times 3 \div 6 \\ 2. \: 3 + 12 \div 6 \\ 3. \: 3 + 2 \\ 4. \: 5

7 0
3 years ago
Using Euclid's division algorithm prove that : 847,2160 are co-primes
AysviL [449]
Definition of eo-primes or relatively primes: Two numbers are said to be co-prime or relatively prime If their HCF IS 1 Hence to prove 847 and 2160 as co-prime numbers we will find their HCF and which should be 1

New steps to find HCF will be as under

2160 = 847 x 2+ 466
847 = 466 ×1 +381
466 = 381 x 1 + 85
381 =85 x 4+ 41
85 =41 x 2+3
41 =3 x 13+ 2
3 =2 x 1+1
2 =1 x 2+0

Therefore, the HCF=1 Hence, the numbers are co-primes (relatively prime).
5 0
3 years ago
Find all the numbers for each shape
irina1246 [14]

Answer:

  • 1 = pentagon
  • 2 = diamond
  • 3 = square
  • 5 = circle
  • 6 = rectangle
  • 7 = oval
  • 8 = triangle
  • 9 = hexagon
  • 10 = trapezoid

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

8 0
3 years ago
Your parents have a realized income of $1,046.78/every 2 weeks. How much should the monthly housing expense budget be to stay wi
IgorLugansk [536]

Answer with explanation:

Income earned by my parents in every two weeks = $ 1046.78

In two weeks there are 14 days, so income earned by my parents in 1 day

              =\frac{1046.78}{14}\\\\74.77

Income of my parents after a month, if there are 30 days in a month = $74.77 × 30= $ 2243.10

We, will use ,\frac{28}{36} rule here , which states that , 28% of monthly income of my parents, should be used for  monthly housing expenses ,and 36% of gross monthly income should be used for debt purposes.

28% of $2243.78

=\frac{28}{100}*2243.78\\\\=\frac{62825.84}{100}\\\\=628.2584

= $ 628.26 (Approx)

So,my parents, monthly housing expense should not exceed ≥ $ 628.26  

8 0
3 years ago
Question in the attachment!!!!
Verdich [7]

Answer: 90 degress clockwise

Step-by-step explanation: because it is going the way the clock is going and it only went one time which is 90 degrees

5 0
3 years ago
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